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Finding the Fourth Proportional to 21,400.14, 32,112.88 and 9,713.18

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Solution

The fourth proportional to 21,400.14, 32,112.88 and 9,713.18 is: 14,575.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,400.14 : 32,112.88 = 9,713.18 : x
  2. Step 2: Convert to fraction form
    21,400.14/32,112.88 = 9,713.18/x
  3. Step 3: Cross multiply
    21,400.14x = 32,112.88 × 9,713.18
  4. Step 4: Simplify right side
    21,400.14x = 311,918,183.76
  5. Step 5: Solve for x
    x = 311,918,183.76/21,400.14
  6. Step 6: Final answer
    x = 14,575.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.